Introduction to Enumerative and Analytic Combinatorics (Discrete Mathematics and Its Applications)

Good introduction to generating functionology

I got it for the section on Analytic Combinatorics, hoping it would be a little gentler supplement to the excellent Flajolet Sedgewick. It is, its great!! Examples really make it a lot more intuitive for someone who has been away from complex analysis for some time. The kindle version is also unusually good for a math book. The only head scratcher/disappointment for me was, why leave out Lagrange Inversion ??

Some of the proofs are of the sort: "I assert that it is a bijection, therefore it is. QED". Nonsense. If at least he stated that it is left to the reader to complete the proof then at least of would make sense. On the other hand, some of the examples are really good.